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Finding the Fourth Proportional to 10,693.51, 16,040.26 and 4,768.87

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Solution

The fourth proportional to 10,693.51, 16,040.26 and 4,768.87 is: 7,153.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,693.51 : 16,040.26 = 4,768.87 : x
  2. Step 2: Convert to fraction form
    10,693.51/16,040.26 = 4,768.87/x
  3. Step 3: Cross multiply
    10,693.51x = 16,040.26 × 4,768.87
  4. Step 4: Simplify right side
    10,693.51x = 76,493,914.71
  5. Step 5: Solve for x
    x = 76,493,914.71/10,693.51
  6. Step 6: Final answer
    x = 7,153.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.